Search a number
-
+
23152272525 = 345229394249
BaseRepresentation
bin10101100011111110…
…111010010010001101
32012202112002022020000
4111203332322102031
5334403440210100
614345213314513
71446510032544
oct254376722215
965675068200
1023152272525
119900944028
1245a1795a39
13224c7a5555
141198c0915b
1590788c900
hex563fba48d

23152272525 has 60 divisors (see below), whose sum is σ = 44364952500. Its totient is φ = 11922059520.

The previous prime is 23152272523. The next prime is 23152272527. The reversal of 23152272525 is 52527225132.

It is an interprime number because it is at equal distance from previous prime (23152272523) and next prime (23152272527).

It can be written as a sum of positive squares in 6 ways, for example, as 1432809 + 23150839716 = 1197^2 + 152154^2 .

It is not a de Polignac number, because 23152272525 - 21 = 23152272523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23152272525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23152272523) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138400 + ... + 255849.

It is an arithmetic number, because the mean of its divisors is an integer number (739415875).

Almost surely, 223152272525 is an apocalyptic number.

23152272525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23152272525 is a deficient number, since it is larger than the sum of its proper divisors (21212679975).

23152272525 is a wasteful number, since it uses less digits than its factorization.

23152272525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394300 (or 394286 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

Adding to 23152272525 its reverse (52527225132), we get a palindrome (75679497657).

The spelling of 23152272525 in words is "twenty-three billion, one hundred fifty-two million, two hundred seventy-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 1305 2025 2175 2349 3915 6525 11745 19575 58725 394249 1182747 1971245 3548241 5913735 9856225 10644723 11433221 17741205 29568675 31934169 34299663 53223615 57166105 88706025 102898989 159670845 171498315 266118075 285830525 308696967 514494945 798354225 857491575 926090901 1543484835 2572474725 4630454505 7717424175 23152272525